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Finding the Fourth Proportional to 2,154.08, 3,223.80 and 1,502

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Solution

The fourth proportional to 2,154.08, 3,223.80 and 1,502 is: 2,247.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.08 : 3,223.80 = 1,502 : x
  2. Step 2: Convert to fraction form
    2,154.08/3,223.80 = 1,502/x
  3. Step 3: Cross multiply
    2,154.08x = 3,223.80 × 1,502
  4. Step 4: Simplify right side
    2,154.08x = 4,842,147.60
  5. Step 5: Solve for x
    x = 4,842,147.60/2,154.08
  6. Step 6: Final answer
    x = 2,247.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.